1. To estimate the height of tower, Lily observed the top of the tower at two points on the groud level. At point A, the angle of elevation is 40°. She then walked 230m towards the towards the tower and reached point B, and the angle of elevation is 60°.Find the height of the tower.
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Maths
2007-08-09 12:30 am
回答 (1)
2007-08-09 12:35 am
✔ 最佳答案
Let h m be the height of the tower.Distance between Point A and the tower = h / tan 40
Distance between Point B and the tower = h / tan 60
Since their difference is 230, we can set up the equation below:
h / tan40 - h / tan60 = 230
h (1 / tan40 - 1 / tan60) = 230
h = 374.3469334
So the height of the tower is 374m. (corr. to 3 sig. fig.)
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